Numerical methods for delay differential equations / Alfredo Bellen and Marino Zennaro.

The authors describe, alalyse and improve various approaches and techniques for the numerical solution of delay differential equations. The text includes a list of available codes and also aids the reader in writing his or her own.

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Bibliographic Details
Main Authors: Bellen, A. 1941- (Author), Zennaro, Marino (Author)
Corporate Author: Oxford University Press.
Format: Electronic
Published: Oxford ; New York : Clarendon Press, 2003.
Series:Numerical mathematics and scientific computation.
Oxford science publications.
Online Access:Click for online access
Table of Contents:
  • 1. Introduction
  • 2. Existence and regularity of solutions of DDEs
  • 3. A review of DDE methods
  • 4. The standard approach via continuous ODE methods
  • 5. Continuous Runge
  • Kutta methods for ODEs
  • 6. Runge
  • Kutta methods for DDEs
  • 7. Local error estimate and variable stepsize
  • 8. Stability analyses of Runge-Kutta methods for ODEs
  • 9. Stability analysis of DDEs
  • 10. Stability analysis of Runge-Kutta methods for DDEs.